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|a Graham, Noah
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|a Massachusetts Institute of Technology. Department of Physics
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|a Jaffe, Robert L.
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|a Shpunt, Alexander Anatoly
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|a Emig, Thorsten
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|a Rahi, Sahand Jamal
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|a Jaffe, Robert L.
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|a Kardar, Mehran
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|a Shpunt, Alexander Anatoly
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|a Emig, Thorsten
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|a Rahi, Sahand Jamal
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|a Jaffe, Robert L.
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|a Kardar, Mehran
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|a Casimir force at a knife's edge
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|b American Physical Society,
|c 2010-09-20T19:00:54Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/58605
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|a The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is another case where such a calculation is possible. We compute the interaction energy of a parabolic cylinder and an infinite plate (both perfect mirrors), as a function of their separation and inclination, H and θ, and the cylinder's parabolic radius R. As H/R→0, the proximity force approximation becomes exact. The opposite limit of R/H→0 corresponds to a semi-infinite plate, where the effects of edge and inclination can be probed.
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|a National Science Foundation (Grants No. PHY05-5533, No. PHY08-55426, and No. DMR-08-03315)
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|a United States. Defense Advanced Research Projects Agency (Contract No. S-000354)
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|a Deutsche Forschungsgemeinschaft (Grant No. EM70/3)
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|a United States. Dept. of Energy (Cooperative research agreement No. DFFC02-94ER40818)
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|a en_US
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|a Article
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|t Physical Review D
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